Question

the sides of hexagon are enlarged by 3 times find the ratio of the areas of the new and old hexagons​

Answer 1

Answer:

Step-by-step explanation:

Area is given by the formula,

3√3/2 a^2 .

So when each side is enlarged three times its new area will be 9√3/2 a^2 .

Answer 2

The required ratio is 9:1.

Step-by-step explanation:

Consider the provided information.

The area of the hexagon is: $A=\dfrac{3\sqrt{3} }{2}a^2$

Let the area of the hexagon is a and the area of enlarged hexagon is 3a.

Therefore the area of hexagon is: $A=\dfrac{3\sqrt{3} }{2}a^2$

Area of enlarged hexagon is: $A=\dfrac{3\sqrt{3} }{2}(3a)^2=\dfrac{3\sqrt{3} }{2}\times9a^2$

Now find the ratio of new and old hexagons.

$\dfrac{New}{Old}=\dfrac{\frac{3\sqrt{3} }{2}\times9a^2 }{\frac{3\sqrt{3} }{2}\times a^2}$

$\dfrac{New}{Old}=\dfrac{9}{1}$

Hence, the required ratio is 9:1.

#Learn more

A wire is in the shape of a regular hexagon encloses an area of 726root3 cm2. if the same wire is bent into form a circle. find the area of the circle

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